Pith Number

pith:S4X4AY6P

pith:2006:S4X4AY6PH3NB3VMU7KTOD3MO7A

not attested not anchored not stored refs pending

Overcoming the Rayleigh Criterion Limit with Optical Vortices

A. Bianchini, C. Barbieri, F. Tamburini, G. Anzolin, G. Umbriaco

arxiv:astro-ph/0606196 v3 · 2006-06-08 · astro-ph · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4X4AY6PH3NB3VMU7KTOD3MO7A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:40:25.281757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972fc063cf3eda1dd594faa6e1ed8ef8026025fa29e86e8786ef3b687ebf5150

Aliases

arxiv: astro-ph/0606196 · arxiv_version: astro-ph/0606196v3 · doi: 10.48550/arxiv.astro-ph/0606196 · pith_short_12: S4X4AY6PH3NB · pith_short_16: S4X4AY6PH3NB3VMU · pith_short_8: S4X4AY6P

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/S4X4AY6PH3NB3VMU7KTOD3MO7A \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 972fc063cf3eda1dd594faa6e1ed8ef8026025fa29e86e8786ef3b687ebf5150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6844f98e365f5747bd6d27955165d92b180e04db991b8a7afa85008f7ce4da2d",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-06-08T15:04:15Z",
    "title_canon_sha256": "ba2f2c758ebdb7cf75069c842ed174c32caebeffced53a044a6ee97ded3ee677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0606196",
    "kind": "arxiv",
    "version": 3
  }
}